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 Equal digits (Posted on 2012-06-11)
What is the biggest 5 digit number such that when multiplied by a single digit, the result is a six digit number, with all digits identical?

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 re: Solution (spoiler) | Comment 2 of 7 |
(In reply to Solution (spoiler) by Steve Herman)

95238 * 7 = 666666

Given the difficulty level it must be assumed the numbers are base-10 composed of decimal digits. If a broader assumption is made, one can find "bigger" 5 digit numbers. I.e., in base 12, B2796 * 7 = 666666; and
B279612 = 23267410  >  9523810
As there is are limits of 5 digits multiplied by 1 digit to equal a 6 digit repdigit number, and if limited to a maximum base of 36, there must be a definite largest number that exists. This problem of course would not be a difficulty 1 level problem (except that one could use a computer program to solve it almost as easy).

Edited on June 13, 2012, 11:48 pm
 Posted by Dej Mar on 2012-06-11 22:51:30

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